Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.2 - Arithmetic Sequences - 12.2 Exercises - Page 858: 73

Answer

$\$ 403,500$

Work Step by Step

The salaries form an arithmetic sequence with $a=30,000$ and common difference $d=2300$. After ten years, there will have been 9 raises. His total eamings for a ten-year period are equal to the sum of the first 10 terms of the arithmetic sequence: $S_{n}=\displaystyle \frac{n}{2}[2a+(n-1)d]$ $S_{10}=\displaystyle \frac{10}{2}[2(30,000)+9(2300)]$ $=403,500$.
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